Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations

Details Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations

2007-03-30

arxiv.org/abs/hep-th/0703290v1

Phys.Rev.D76:084019,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 5 figures

Scientific paper

10.1103/PhysRevD.76.084019

We derive the complete spectrum of gravitational waves induced by primordial scalar perturbations ranging over all observable wavelengths. This scalar-induced contribution can be computed directly from the observed scalar perturbations and general relativity and is, in this sense, independent of the cosmological model for generating the perturbations. The spectrum is scale-invariant on small scales, but has an interesting scale-dependence on large and intermediate scales, where scalar-induced gravitational waves do not redshift and are hence enhanced relative to the background density of the Universe. This contribution to the tensor spectrum is significantly different in form from the direct model-dependent primordial tensor spectrum and, although small in magnitude, it dominates the primordial signal for some cosmological models. We confirm our analytical results by direct numerical integration of the equations of motion.

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